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Finding the Fourth Proportional to 961.52, 1,323.60 and 863.24

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Solution

The fourth proportional to 961.52, 1,323.60 and 863.24 is: 1,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.52 : 1,323.60 = 863.24 : x
  2. Step 2: Convert to fraction form
    961.52/1,323.60 = 863.24/x
  3. Step 3: Cross multiply
    961.52x = 1,323.60 × 863.24
  4. Step 4: Simplify right side
    961.52x = 1,142,584.46
  5. Step 5: Solve for x
    x = 1,142,584.46/961.52
  6. Step 6: Final answer
    x = 1,188.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.